Strong McKay Correspondence, String-theoretic Hodge Numbers and Mirror Symmetry

TL;DR

This paper explores the connections between McKay correspondence, string-theoretic Hodge numbers, and mirror symmetry, providing new insights and corrections to existing theories in algebraic geometry and string theory.

Contribution

It introduces refined results linking McKay correspondence with string-theoretic invariants and enhances the understanding of mirror symmetry through these connections.

Findings

Corrected previous misprints in the theory

Established new relations between Hodge numbers and mirror symmetry

Extended the framework of McKay correspondence in string theory

Abstract

In the revised version of the paper, we correct misprints and add some new statements.